359616960 has 336 divisors, whose sum is σ = 1326611520. Its totient is φ = 89210880.

The previous prime is 359616941. The next prime is 359616967. The reversal of 359616960 is 69616953.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359616967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4040596 + ... + 4040684.

Almost surely, 2^359616960 is an apocalyptic number.

359616960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663305760).

359616960 is an abundant number, since it is smaller than the sum of its proper divisors (966994560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

359616960 is a wasteful number, since it uses less digits than its factorization.

359616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 359616960 is about 18963.5692842882. The cubic root of 359616960 is about 711.1262690635.

The spelling of 359616960 in words is "three hundred fifty-nine million, six hundred sixteen thousand, nine hundred sixty".